Role of interspecific competition among predators and group size : A dynamical approach

Abstract

Living in a group benefit all living beings for their survival and fulfilling needs. This paper proposes and analyzes a prey-predator system with the interspecific death and functional response Hassell-Varley. First, we discuss the existing stationary points of the system and their permanence. Then, by taking the Hassell-Varley coefficient (g) as the bifurcation parameter, we examined the Hopf-bifurcation analysis of the coexistence stationary point. The role of interspecific death rates to different group forms of predator is also examined. Finally, quantitative analysis has been fetched out to validate the qualitative outcomes and findings. The investigations exhibits that the group formation among predators and interspecific death rates are sensitive factors to the system’s stability.